You kick a ball from ground level at an angle θ above the horizontal and with an initial speed Vo. (It lands back on the ground and the field is level.) Which change to the situation described below would double how far the ball travels?

I. Double the initial speed

II. Double just the horizontal component of the initial velocity

III. Double just the vertical component of the initial velocity

II. Double just the horizontal component of the initial velocity

III. Double just the vertical component of the initial velocity

Explanation:

We will use the equations of kinematics for both horizontal and vertical directions to understand the behavior of the ball during the motion.

Since there is no acceleration in the horizontal direction, the horizontal component of the velocity is constant during the motion.

For the vertical direction,

Combining the two equations yields

Here, 'x' represents the horizontal displacement. Therefore, in order to double how far the ball travels, we should either double just the horizontal or just the vertical component of initial velocity. If we double both of the components, then the displacement will be increase four times instead of double.

answer: the exterior temperature of commercial jet planes as they leave the stratosphere and return to the ground increases steadily.

explanation:

the lower most layer of atmosphere is troposphere which extends from 0 to 12 km above the surface of the earth. the temperature initially decreases as distance is increased from the earth's surface. commercial jets fly in lower part of the stratosphere. the stratosphere extends upto 50 km. the temperature in stratosphere starts rising again due to presence of ozone which traps the uv rays.

thus, when the planes leave the stratosphere and return to the ground, the exterior temperature increases steadily.